On a family of Hopf algebras of dimension 72

Details On a family of Hopf algebras of dimension 72 On a family of Hopf algebras of dimension 72

2011-05-02

arxiv.org/abs/1105.0394v1

Mathematics

Quantum Algebra

26 pages

Scientific paper

We investigate a family of Hopf algebras of dimension 72 whose coradical is isomorphic to the algebra of functions on S_3. We determine the lattice of submodules of the so-called Verma modules and as a consequence we classify all simple modules. We show that these Hopf algebras are unimodular (as well as their duals) but not quasitriangular; also, they are cocycle deformations of each other.

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